(In reply to
Solution by Jer)
for n in range(100,1000):
k = n * (n+1) * (n+2) / 2
if k > 146855555:
break
if 146800000/k != 146855555/k:
NN = (146855555/k) * k
chk = 0
for i in list(str(NN))[4:]:
if i > '5':
chk = 1
break
if chk == 0:
print n, NN
produces the same two results that Jer found, and one other:
100 146803500 123 146800500 195 146822130
Edit: But that last one isn't valid  as Jer noted,
dividing by 2 is valid if n is even.
146822130 is not divisible by 196, so strike that
off the list.
Edited on May 13, 2014, 3:04 pm
Edited on May 13, 2014, 3:05 pm

Posted by tomarken
on 20140513 15:01:18 